https://doi.org/10.1140/epjs/s11734-026-02295-x
Regular Article
Shear-induced particle migration in viscous suspensions with continuous size distribution: the cases of parallel plates and cone and plate
Faculty of Chemical Engineering, Technion, Israel Institute of Technology, Haifa, Israel
a
This email address is being protected from spambots. You need JavaScript enabled to view it.
Received:
29
December
2025
Accepted:
22
March
2026
Published online:
17
April
2026
Abstract
When the effective viscosity of a viscous suspension is measured in rotating devices as parallel plates or cone and plate, the detected measurement changes continuously in time. This dynamic phenomenon is caused by shear induced particle migration. Stationary measurements are obtained only after the migration ceases in the entire volume of the sheared domain. In this work, we examine the stationary situation in cases when the suspension contains particles that have a continuous size distribution. The problem is formulated in terms of moments of the particle size distribution. We examine a particular case for which the stationary properties, such as local concentration and average particle size, are determined, and the effects on physical variables are obtained. The work provides a comparison between the results obtained for the two mentioned devices.
© The Author(s) 2026
Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.
